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Finding the Third Proportional to 359,585,340 and 789,162,188

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Solution

The third proportional to 359,585,340 and 789,162,188 is: 1,731,930,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,585,340 : 789,162,188 = 789,162,188 : x
  2. Step 2: Convert to fraction form
    359,585,340/789,162,188 = 789,162,188/x
  3. Step 3: Cross multiply
    359,585,340x = 789,162,188 × 789,162,188
  4. Step 4: Simplify right side
    359,585,340x = 622,776,958,968,947,328
  5. Step 5: Solve for x
    x = 622,776,958,968,947,328/359,585,340
  6. Step 6: Final answer
    x = 1,731,930,892.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.